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Finding the Fourth Proportional to 25,921, 35,773.41 and 14,743

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Solution

The fourth proportional to 25,921, 35,773.41 and 14,743 is: 20,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,921 : 35,773.41 = 14,743 : x
  2. Step 2: Convert to fraction form
    25,921/35,773.41 = 14,743/x
  3. Step 3: Cross multiply
    25,921x = 35,773.41 × 14,743
  4. Step 4: Simplify right side
    25,921x = 527,407,383.63
  5. Step 5: Solve for x
    x = 527,407,383.63/25,921
  6. Step 6: Final answer
    x = 20,346.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.